Search a number
-
+
12333100020000 = 25354238937029
BaseRepresentation
bin1011001101111000011000…
…0010111011000100100000
31121200000212221112100220020
42303132012002323010200
53104031142101120000
642121425315313440
72412015500324034
oct263360602730440
947600787470806
1012333100020000
113a25490490031
1214722a22ab880
136b6010c17736
14308cd4b6a1c4
15165c2b457ba0
hexb37860bb120

12333100020000 has 240 divisors, whose sum is σ = 42213953960640. Its totient is φ = 3145833856000.

The previous prime is 12333100019993. The next prime is 12333100020029. The reversal of 12333100020000 is 2000133321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×123331000200002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3088515 + ... + 5848514.

It is an arithmetic number, because the mean of its divisors is an integer number (175891474836).

Almost surely, 212333100020000 is an apocalyptic number.

12333100020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333100020000 is an abundant number, since it is smaller than the sum of its proper divisors (29880853940640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12333100020000 is an equidigital number, since it uses as much as digits as its factorization.

12333100020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8937085 (or 8937062 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12333100020000 its reverse (2000133321), we get a palindrome (12335100153321).

The spelling of 12333100020000 in words is "twelve trillion, three hundred thirty-three billion, one hundred million, twenty thousand".